Inverse Scattering for the 1-D Helmholtz Equation

Abstract

Abstract. We prove a uniqueness result for Nevanlinna functions. and this result is then used to give an elementary proof of the uniqueness in the inverse scattering problem for the equation u ′′ + k 2 c 2 u = 0 on R. Here c is a real positive measurable function that is bounded from below by a positive constant, and is close to 1 at ±∞.